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Dressed molecules in an optical lattice

K. B. Gubbels·D. B. M. Dickerscheid·H. T. C. Stoof
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Abstract

We present the theory of an atomic gas in an optical lattice near a Feshbach resonance. We derive from first principles a generalized Hubbard model, that incorporates all the relevant two-body physics exactly, except for the background atom-atom scattering. For most atoms the background interactions are negligible, but this is not true for lithium-6, which has an exceptionally large background scattering length near the experimentally relevant Feshbach resonance at 834 G. Therefore, we show how to include background atom-atom scattering by solving the on-site two-body Feshbach problem exactly. We apply the obtained solution to lithium-6 and find that the background interactions indeed have a significant effect in this case.

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K. B. Gubbels, D. B. M. Dickerscheid, H. T. C. Stoof. 2006-10-31. Dressed molecules in an optical lattice. https://doi.org/10.1088/1367-2630%2F8%2F8%2F151

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